معرفی
Marlies Pirner serves as Assistant Professor (Juniorprofessur) and Investigator in the Cluster of Excellence Mathematics Münster Dynamics-Geometry-Structure at the University of Münster since October 2022. She is affiliated with the Institute of Mathematics, specializing in Applied Mathematics. Previously, she held research positions at the University of Wuerzburg and the University of Vienna.
- University of Wuerzburg: Master's (2014) and PhD (2018, summa cum laude) in Mathematical Physics
- Feodor-Lynen Research Scholarship: University of Vienna (2018-2020)
- Feodor-Lynen Return Scholarship: University of Wuerzburg (2020-2021)
- DFG Funded Postdoc: University of Wuerzburg (2021-2022)
Professor Pirner's research centers on kinetic theory and partial differential equations, with particular emphasis on Boltzmann equations, BGK approximations, and mathematical modeling of gas mixtures. Her work addresses hypocoercivity, long-time behavior of solutions, qualitative properties like positivity, existence and uniqueness theorems, and applications to plasma physics and semiconductor models. She has developed consistent kinetic models for polyatomic gas mixtures and extended these to quantum systems.
Her recent publications reveal a strong focus on numerical schemes for multi-species quantum BGK models, hypocoercivity analysis for non-linear semiconductor Boltzmann equations, and BGK models for rarefied gases in bounded domains. The work demonstrates increasing sophistication in handling velocity-dependent collision frequencies, stochastic coefficients, and conservation properties. Her research bridges theoretical mathematical analysis with computational approaches to kinetic phenomena.
- Feodor-Lynen Research Scholarship of the Alexander von Humboldt Foundation
- Feodor-Lynen Return Scholarship of the Alexander von Humboldt Foundation
- DFG Funded Postdoc Position
Professor Pirner leads a research group at the University of Münster with Dr. Gayrat Toshpulatov as Research Assistant and previously included Dr. Dennis Ulbrich. Her teaching portfolio includes advanced courses such as Kinetic Transport Theory of dilute gases (SS 2023), Partial Differential Equations in Mathematical Physics (WS 2023/2024), and Partial differential equations (SS 2025). Her research is supported through the Cluster of Excellence Mathematics Münster and previously through prestigious fellowships from the Alexander von Humboldt Foundation and DFG funding.
Her research group focuses on kinetic equations for gas mixtures, developing mathematical models that capture complex physical phenomena while maintaining analytical tractability and computational feasibility.
